The stretched weight lattices of a Weyl group
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- by Daniel R. Farkas PDF
- Proc. Amer. Math. Soc. 92 (1984), 473-477 Request permission
Abstract:
Consider a finite group of automorphisms of a lattice. The nonnegative cone is a fundamental domain (for the action of the group on the lattice) if and only if the group is a Weyl group and the lattice is isomorphic, as a module, to one of the group’s stretched weight lattices.References
- N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238
- Daniel R. Farkas, Multiplicative invariants, Enseign. Math. (2) 30 (1984), no. 1-2, 141–157. MR 743674
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 473-477
- MSC: Primary 17B10; Secondary 17B20
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760928-0
- MathSciNet review: 760928